Alright, let's solve this problem step by step. We have 77454 and 41344, and we're subtracting the second number from the first.

Step 1: We'll start by subtracting the digit 4 and the borrow 0 from 4 in column 1 and get 0.
0 is the first digit of our result.

Step 2: We'll start by subtracting the digit 4 and the borrow 0 from 5 in column 2 and get 1.
1 is the next digit of our result.

Step 3: We'll start by subtracting the digit 3 and the borrow 0 from 4 in column 3 and get 1.
1 is the next digit of our result.

Step 4: We'll start by subtracting the digit 1 and the borrow 0 from 7 in column 4 and get 6.
6 is the next digit of our result.

Step 5: We'll start by subtracting the digit 4 and the borrow 0 from 7 in column 5 and get 3.
3 is the next digit of our result.

So, 77454 - 41344 = 36110.